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A group can charter a particular aircraft at a fixed total co

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A group can charter a particular aircraft at a fixed total co [#permalink] New post 24 May 2019, 01:55
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A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the fixed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

[Reveal] Spoiler: OA
(a) $4,320 (b) $108


Math Review
Question: 15
Page: 245
Difficulty: medium

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Re: A group can charter a particular aircraft at a fixed total co [#permalink] New post 25 May 2019, 04:24
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Carcass wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the fixed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

[Reveal] Spoiler: OA
(a) $4,320 (b) $108


Math Review
Question: 15
Page: 245
Difficulty: medium


cost per person = (total cost)/(number of people)

If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.
Let's start with a "word equation": (cost per person with 36 people) = (cost per person with 40 people) + 12
Let f = fixed cost (aka TOTAL cost)
We can write: f/36 = f/40 + 12
Multiply both sides by 360 to get: 10f = 9f + 4320
Subtract 9f from both sides: f = 4320

(a) What is the fixed total cost to charter the aircraft?
The fixed cost = $4320

(b) What is the cost per person if 40 people charter the aircraft?
cost per person = $4320/40 = $108

Cheers,
Brent
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Re: A group can charter a particular aircraft at a fixed total co   [#permalink] 25 May 2019, 04:24
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